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325787040 = 25325226241
BaseRepresentation
bin10011011010110…
…001110110100000
3211201000200210200
4103122301312200
51131400141130
652154425200
711034100305
oct2332616640
9751020720
10325787040
11157997697
1291132200
13526592c7
14313a70ac
151d904760
hex136b1da0

325787040 has 72 divisors (see below), whose sum is σ = 1111753188. Its totient is φ = 86876160.

The previous prime is 325787039. The next prime is 325787041. The reversal of 325787040 is 40787523.

It is an interprime number because it is at equal distance from previous prime (325787039) and next prime (325787041).

It can be written as a sum of positive squares in 2 ways, for example, as 324432144 + 1354896 = 18012^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3257870402 = 212274390863923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325786986 and 325787004.

It is not an unprimeable number, because it can be changed into a prime (325787041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111681 + ... + 114560.

Almost surely, 2325787040 is an apocalyptic number.

325787040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325787040 is an abundant number, since it is smaller than the sum of its proper divisors (785966148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

325787040 is a wasteful number, since it uses less digits than its factorization.

325787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226262 (or 226251 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 325787040 is about 18049.5717400718. The cubic root of 325787040 is about 688.0889780360.

The spelling of 325787040 in words is "three hundred twenty-five million, seven hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 226241 452482 678723 904964 1131205 1357446 1809928 2036169 2262410 2714892 3393615 3619856 4072338 4524820 5429784 6787230 7239712 8144676 9049640 10180845 10859568 13574460 16289352 18099280 20361690 21719136 27148920 32578704 36198560 40723380 54297840 65157408 81446760 108595680 162893520 325787040